Final answer:
The power consumption of a space heater that produces 3,700 BTU of heat per hour is approximately 1,083.1 watts, as determined by multiplying the BTU output by the conversion factor of 0.293 W/BTU/hr.
Step-by-step explanation:
To calculate the power consumption of a space heater in watts when it is known to produce 3,700 British thermal units (BTU) of heat per hour, we use the conversion factor that 1 BTU/hr is equivalent to 0.293 watts. Multiplying the heater's output in BTU/hr by this conversion factor gives us the power consumption in watts:
3,700 BTU/hr × 0.293 W/BTU/hr = 1,083.1 W
Therefore, a space heater that produces 3,700 BTU of heat per hour has a power consumption of approximately 1,083.1 watts.